Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems

This paper considers the issue of using non-reflective boundaries for surface wave simulations within the framework of three-dimensional Navier–Stokes equations. We distinguish a wave damping approach among the known implementations of non-reflective boundary conditions in surface wave simulations....

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Bibliographic Details
Published in:Geosciences
Main Authors: Andrey Kozelkov, Andrey Kurkin, Dmitry Utkin, Elena Tyatyushkina, Vadim Kurulin, Dmitry Strelets
Format: Article in Journal/Newspaper
Language:English
Published: MDPI AG 2022
Subjects:
tsunami
numerical simulation
Navier–Stokes equations
VOF method
wave damping
LOGOS software package
Geology
QE1-996.5
Sakhalin
Online Access:https://doi.org/10.3390/geosciences12110427
https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee
Description
Summary:This paper considers the issue of using non-reflective boundaries for surface wave simulations within the framework of three-dimensional Navier–Stokes equations. We distinguish a wave damping approach among the known implementations of non-reflective boundary conditions in surface wave simulations. The approach employs a sponge boundary layer to dampen incident waves. In this paper, we describe implementations of this approach on unstructured meshes. We also present the calibration of free parameters, the values of which control wave damping efficiency and the amplitude of reflected waves. Comparison of the results obtained at different types of distribution for the free parameter was conducted. The implemented wave damping approach was tested by simulating a solitary wave propagating in a water tank. We demonstrate the use of damping non-reflective boundary conditions for the case of a wave traveling across the surface of a real body of water near Sakhalin Island while considering its bathymetry.

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